Algebra Problems…

© 2007 Herbert I. Gross

Set 4By Herb I. Gross and Richard A. Medeiros

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The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test.

© 2007 Herbert I. Gross

After you have worked on these problems check your answers against the ones that are given.

Then read through our solutions andcommentary in the Problem/Solution

PowerPoint Presentation .

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a. Solve for n if:

n = -7 – (-13 – +8)

Problem #1

© 2007 Herbert I. Gross

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b. Solve for n if:

n = (-7 – -13) – +8

Problem #1

© 2007 Herbert I. Gross

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Solve for n if:

-n = +7 – -4

Problem #2

© 2007 Herbert I. Gross

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a. Which number is greater, and by how much?

-6 – 4 or 4 – -6

Problem #3

© 2007 Herbert I. Gross

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b. Which number is greater, and by how much?

│-6 – 4│ or │ 4 – -6│

Problem #3

© 2007 Herbert I. Gross

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a. Evaluate:

8 – (6 – n) when n = 9.

Problem #4

© 2007 Herbert I. Gross

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b. What must we add to (6 – n) to obtain 8 as the

sum?

Problem #4

© 2007 Herbert I. Gross

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c. How are the expressions 8 – (6 – n) and n + 2

related?

Problem #4

© 2007 Herbert I. Gross

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d. For what value of n will:

8 – (6 – n) = 23

Problem #4

© 2007 Herbert I. Gross

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You are hiking along a trail. The positive direction is the one in which your altitude (measured in feet and

labeled “above sea level” and “below sea level”) is increasing, and the

negative direction is the one in which your altitude is decreasing. Make up a

word problem for which the correct answer is found by computing the

value of 300 – -250.

Problem #5

© 2007 Herbert I. Gross